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Finding the Third Proportional to 135,716.75 and 298,201.75

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Solution

The third proportional to 135,716.75 and 298,201.75 is: 655,219.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,716.75 : 298,201.75 = 298,201.75 : x
  2. Step 2: Convert to fraction form
    135,716.75/298,201.75 = 298,201.75/x
  3. Step 3: Cross multiply
    135,716.75x = 298,201.75 × 298,201.75
  4. Step 4: Simplify right side
    135,716.75x = 88,924,283,703.06
  5. Step 5: Solve for x
    x = 88,924,283,703.06/135,716.75
  6. Step 6: Final answer
    x = 655,219.67

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.